integral from 0 to 2pi of cos(t)sin^2(t)

Lösung

\int_{0}^{2 π} cos (t) sin^{2} (t) d t

0

Schritte zur Lösung

\int_{0}^{2 π} cos (t) sin^{2} (t) d t

Berechne das unbestimmte Integral:

\int cos (t) sin^{2} (t) d t = \frac{sin ^{3} ( t )}{3} + C

Berechne die Grenzen:

\int_{0}^{2 π} cos (t) sin^{2} (t) d t = 0 - 0

= 0 - 0

Vereinfache

= 0

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